Search a number
-
+
768112564 = 221711295773
BaseRepresentation
bin101101110010000…
…111011110110100
31222112100011100111
4231302013132310
53033114100224
6204115152404
725014564142
oct5562073664
91875304314
10768112564
1136464137a
121952a5704
13c3199a9b
1474028592
1547678d94
hex2dc877b4

768112564 has 12 divisors (see below), whose sum is σ = 1423267524. Its totient is φ = 361464704.

The previous prime is 768112537. The next prime is 768112567. The reversal of 768112564 is 465211867.

It can be written as a sum of positive squares in 2 ways, for example, as 364504464 + 403608100 = 19092^2 + 20090^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768112567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5647819 + ... + 5647954.

It is an arithmetic number, because the mean of its divisors is an integer number (118605627).

Almost surely, 2768112564 is an apocalyptic number.

It is an amenable number.

768112564 is a deficient number, since it is larger than the sum of its proper divisors (655154960).

768112564 is a wasteful number, since it uses less digits than its factorization.

768112564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295794 (or 11295792 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 768112564 is about 27714.8437484320. The cubic root of 768112564 is about 915.8161326952.

The spelling of 768112564 in words is "seven hundred sixty-eight million, one hundred twelve thousand, five hundred sixty-four".

Divisors: 1 2 4 17 34 68 11295773 22591546 45183092 192028141 384056282 768112564